Hey guys. I'm really stuck on this homework. The instructions were "Dervie the logistic growth equation".

So, the teacher gave us the following stuff:

dy/dt = ky (M-y)

k, t > 0

y(0) = M / 1+c

y = M / 1+ce ^ -kMt

So, i'm guessing I need to derviey = M / 1+ce ^ -kMtright?

This is how i went about it.

y = M / 1+ce ^ -kMt

dy/dt = (1+ce ^ -kMt)(M derivative) - (M)(-kMt ce ^ -kMt-1)(ce derivative) / (1+ce ^ -kMt)^2

Not sure if i'm doing the correct thing though. Please help me out!